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Finding the Third Proportional to 61,627 and 95,051

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Solution

The third proportional to 61,627 and 95,051 is: 146,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,627 : 95,051 = 95,051 : x
  2. Step 2: Convert to fraction form
    61,627/95,051 = 95,051/x
  3. Step 3: Cross multiply
    61,627x = 95,051 × 95,051
  4. Step 4: Simplify right side
    61,627x = 9,034,692,601
  5. Step 5: Solve for x
    x = 9,034,692,601/61,627
  6. Step 6: Final answer
    x = 146,602.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.